126901912192 has 128 divisors (see below), whose sum is σ = 279224265600. Its totient is φ = 56968151040.

The previous prime is 126901912169. The next prime is 126901912213. The reversal of 126901912192 is 291219109621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×126901912192² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112401484 + ... + 112402612.

It is an arithmetic number, because the mean of its divisors is an integer number (2181439575).

Almost surely, 2^126901912192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126901912192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139612132800).

126901912192 is an abundant number, since it is smaller than the sum of its proper divisors (152322353408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126901912192 is a wasteful number, since it uses less digits than its factorization.

126901912192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 126901912192 in words is "one hundred twenty-six billion, nine hundred one million, nine hundred twelve thousand, one hundred ninety-two".